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Finding the Third Proportional to 814,965.05 and 1,770,034.78

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Solution

The third proportional to 814,965.05 and 1,770,034.78 is: 3,844,365.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,965.05 : 1,770,034.78 = 1,770,034.78 : x
  2. Step 2: Convert to fraction form
    814,965.05/1,770,034.78 = 1,770,034.78/x
  3. Step 3: Cross multiply
    814,965.05x = 1,770,034.78 × 1,770,034.78
  4. Step 4: Simplify right side
    814,965.05x = 3,133,023,126,834.74
  5. Step 5: Solve for x
    x = 3,133,023,126,834.74/814,965.05
  6. Step 6: Final answer
    x = 3,844,365.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.